KR20170075127A - Method of simplified channel coding for processing packet loss recovery - Google Patents
Method of simplified channel coding for processing packet loss recovery Download PDFInfo
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- KR20170075127A KR20170075127A KR1020150184147A KR20150184147A KR20170075127A KR 20170075127 A KR20170075127 A KR 20170075127A KR 1020150184147 A KR1020150184147 A KR 1020150184147A KR 20150184147 A KR20150184147 A KR 20150184147A KR 20170075127 A KR20170075127 A KR 20170075127A
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- H—ELECTRICITY
- H03—ELECTRONIC CIRCUITRY
- H03M—CODING; DECODING; CODE CONVERSION IN GENERAL
- H03M13/00—Coding, decoding or code conversion, for error detection or error correction; Coding theory basic assumptions; Coding bounds; Error probability evaluation methods; Channel models; Simulation or testing of codes
- H03M13/37—Decoding methods or techniques, not specific to the particular type of coding provided for in groups H03M13/03 - H03M13/35
- H03M13/3761—Decoding methods or techniques, not specific to the particular type of coding provided for in groups H03M13/03 - H03M13/35 using code combining, i.e. using combining of codeword portions which may have been transmitted separately, e.g. Digital Fountain codes, Raptor codes or Luby Transform [LT] codes
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- H—ELECTRICITY
- H03—ELECTRONIC CIRCUITRY
- H03M—CODING; DECODING; CODE CONVERSION IN GENERAL
- H03M13/00—Coding, decoding or code conversion, for error detection or error correction; Coding theory basic assumptions; Coding bounds; Error probability evaluation methods; Channel models; Simulation or testing of codes
- H03M13/03—Error detection or forward error correction by redundancy in data representation, i.e. code words containing more digits than the source words
- H03M13/05—Error detection or forward error correction by redundancy in data representation, i.e. code words containing more digits than the source words using block codes, i.e. a predetermined number of check bits joined to a predetermined number of information bits
- H03M13/11—Error detection or forward error correction by redundancy in data representation, i.e. code words containing more digits than the source words using block codes, i.e. a predetermined number of check bits joined to a predetermined number of information bits using multiple parity bits
- H03M13/1102—Codes on graphs and decoding on graphs, e.g. low-density parity check [LDPC] codes
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- H—ELECTRICITY
- H03—ELECTRONIC CIRCUITRY
- H03M—CODING; DECODING; CODE CONVERSION IN GENERAL
- H03M13/00—Coding, decoding or code conversion, for error detection or error correction; Coding theory basic assumptions; Coding bounds; Error probability evaluation methods; Channel models; Simulation or testing of codes
- H03M13/61—Aspects and characteristics of methods and arrangements for error correction or error detection, not provided for otherwise
- H03M13/615—Use of computational or mathematical techniques
- H03M13/616—Matrix operations, especially for generator matrices or check matrices, e.g. column or row permutations
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- H—ELECTRICITY
- H03—ELECTRONIC CIRCUITRY
- H03M—CODING; DECODING; CODE CONVERSION IN GENERAL
- H03M13/00—Coding, decoding or code conversion, for error detection or error correction; Coding theory basic assumptions; Coding bounds; Error probability evaluation methods; Channel models; Simulation or testing of codes
- H03M13/65—Purpose and implementation aspects
- H03M13/6522—Intended application, e.g. transmission or communication standard
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Abstract
BACKGROUND OF THE INVENTION 1. Field of the Invention The present invention relates to image processing, and more particularly, to a lightweight data recovery technique capable of maintaining media communication service quality such as video conferencing even when packet loss occurs on the Internet. According to an embodiment of the present invention, there is provided a method of generating a LT (Luby Transform) matrix composed of K x L elements using a first seed value, wherein at least some of the K x L elements Generating an HDPC (High Density Parity Check) matrix composed of H x K elements using a second seed value, generating an identity matrix composed of H x H elements, and generating the LT matrix, the HDPC matrix, And combining the unitary matrices to generate a combining matrix. The weighted channel coding method for packet loss recovery processing is provided.
Description
BACKGROUND OF THE
Currently, channel coding techniques are used for data transmission such as file transfer or video streaming. In the case of Real-time Transport Protocol (RTP) packets, a technology that can recover lost packets by using ALFEC (Application Layer Forward Error Correction) is used because it does not use retransmission. In particular, fountain code techniques such as Raptor code and RaptorQ code can be used to create as many overhead packets as necessary.
FIG. 1 is a diagram illustrating a RaptorQ encoding and decoding procedure, and FIG. 2 is a diagram illustrating the number of LDPC and HDPC symbols in a RaptorQ code.
Referring to FIG. 1, RaptorQ code technology improves the recovery rate of lost packets by using LDPC (Low Density Parity Check), HDPC (High Density Parity Check) and LT code (Luby Transform Code). Here, LDPC and HDPC correspond to pre-code and LT code is used as fountain code to generate additional symbols. A combination of LDPC, HDPC, and LT codes is required to construct a matrix of RaptorQ codes and to reverse the matrix during encoding / decoding. The inverse procedure of Matrix is to use RaptorQ code as systematic code. Systematic code means that the input symbol remains in the output symbol in its original form. The larger the matrix size of the RaptorQ code is, the larger the amount of computation required in the matrix is, and the higher the LT code degree is, the more the computational complexity is increased. Here, "Degree" means the number of 1s in the vector constituting the LT matrix. Therefore, it can be said that the smaller the degree of the LT code is, the smaller the calculation amount of RaptorQ code is while the whole matrix is small.
The current RaptorQ code increases the size of LDPC and HDPC matrices as the number of symbols increases. Referring to FIG. 2, although the size of the HDPC is very small, the size of the LDPC is larger than that of the HDPC. Also, the ratio of the LDPC matrix to the entire matrix is higher when the number of symbols is small.
The present invention reduces coding and decoding processing delay to enable application using high-quality real-time video conferencing or a small number of symbols over HD class (720p) or higher in a system capable of limited calculation such as a smart phone, and is similar to RaptorQ code The goal is to provide packet loss recovery performance.
According to an embodiment of the present invention, there is provided a method of generating a LT (Luby Transform) matrix composed of K x L elements using a first seed value, wherein at least some of the K x L elements Generating an HDPC (High Density Parity Check) matrix composed of H x K elements using a second seed value, generating an identity matrix composed of H x H elements, and generating the LT matrix, the HDPC matrix, And combining the unitary matrices to generate a combining matrix. The weighted channel coding method for packet loss recovery processing is provided.
According to another embodiment of the present invention, there is provided a method for transmitting an ESI symbol, comprising the steps of: distinguishing an original symbol and an additional symbol with an Encoding Symbol ID (ESI) value of a received symbol; storing a lost ESI number among original symbols; Generating an association matrix A including an LT matrix using the ESI of the received symbol if the association matrix A is inverse; generating an intermediate symbol if the association matrix A is reversible; Generating a 1 x L vector using P = (log Lp + d) / Lp, and recovering the lost symbol using the generated vector and the intermediate symbol. A coding method is provided.
In one embodiment, the size of the entire matrix is reduced by removing the LDPC and using the new LT matrix, but the RaptorQ code level recovery performance is maintained. Therefore, when the number of symbols is small, for example, below about 500, the average degree of the LT code can be smaller than RaptorQ code.
In one embodiment, the LDPC code is removed from the matrix configuration used in the RaptorQ code, and the degree distribution of the LT code is changed. As a result, the size of the entire matrix is reduced and the amount of calculation is reduced when the intermediate symbol is generated. Here, the average degree of the proposed LT code shows an average value of log (K + H) + 2. The average degree tends to be smaller than the average degree of RaptorQ code when the number K of original symbols is less than about 500, for example. If the average degree is small, it is more efficient in terms of calculation amount in recovery of additional symbol generation / loss symbols.
According to the present invention, high-quality real-time video conferencing of higher than HD grade or applications using a small number of symbols can be performed in a system capable of limited calculation such as a smart phone.
Hereinafter, the present invention will be described with reference to the embodiments shown in the accompanying drawings. For the sake of clarity, throughout the accompanying drawings, like elements have been assigned the same reference numerals. It is to be understood that the present invention is not limited to the embodiments illustrated in the accompanying drawings, but may be embodied in many other specific forms without departing from the spirit or essential characteristics thereof.
Figure 1 is an exemplary diagram illustrating a RaptorQ encoding and decoding procedure.
2 is a diagram showing the number of symbols of LDPC and HDPC of the RaptorQ code.
FIG. 3 is an exemplary diagram illustrating a configuration of a combined matrix A according to an embodiment of the present invention.
4 is a flowchart illustrating an exemplary method of generating the combining matrix A shown in FIG.
5 is a flowchart illustrating an exemplary procedure for generating an additional symbol in an encoder.
FIG. 6 is a flowchart illustrating a process of recovering a lost symbol on a receiving side.
While the present invention has been described in connection with certain exemplary embodiments, it is to be understood that the invention is not limited to the disclosed embodiments, but, on the contrary, is intended to cover various modifications and similarities. It should be understood, however, that the invention is not intended to be limited to the particular embodiments, but includes all modifications, equivalents, and alternatives falling within the spirit and scope of the invention.
FIG. 3 is an exemplary diagram illustrating a configuration of a combined matrix A according to an embodiment of the present invention.
Referring to FIG. 3, the combining matrix A is composed of an HDPC matrix 101 of H x K size, a unit matrix I H 102 of H x H size, and an LT matrix 103 of K x L. The HDPC matrix 101 is a random matrix composed of numbers between 1 and 255, and operates on Galois Field 256 (GF256) in matrix operation. The LT matrix 103 has a structure in which the number of 1's is less distributed, and the distribution of 1 can be determined, for example, according to the probability equation P = (log Lp + d) / Lp. Thus, the average degree of the LT matrix 103 may be logL + d. Where L is the sum of the number K of original symbols and the number H of HDPC symbols (L = K + H), and d is a constant equal to or greater than zero. The probability that the inverse of the combining matrix A is possible can be expressed as a product of the probability that the rank of the K x L LT matrix GF2 is K and the rank of the H x H unit matrix I H (GF256) is H. In one embodiment of the present invention, when the number of symbols is 1000 or less, the d value is set to 2, and when the H value is set to 10, a loss recovery probability similar to RaptorQ code can be obtained.
4 is a flowchart illustrating an exemplary method of generating the combining matrix A shown in FIG.
Referring to FIG. 4, the process of generating the LT matrix is as follows. In
The generation process of the HDPC matrix is as follows. In
Also, at
In
5 is a flowchart illustrating an exemplary procedure for generating an additional symbol in an encoder.
Referring to FIG. 5, in
FIG. 6 is a flowchart illustrating a process of recovering a lost symbol on a receiving side.
Referring to FIG. 6, in
In
In
In
In
It will be understood by those skilled in the art that the foregoing description of the present invention is for illustrative purposes only and that those of ordinary skill in the art can readily understand that various changes and modifications may be made without departing from the spirit or essential characteristics of the present invention. will be. It is therefore to be understood that the above-described embodiments are illustrative in all aspects and not restrictive.
It is intended that the present invention covers the modifications and variations of this invention provided they come within the scope of the appended claims and their equivalents. .
Claims (1)
Generating an HDPC (High Density Parity Check) matrix composed of H x K elements using the second seed value;
Generating a unit matrix composed of H x H elements; And
And combining the LT matrix, the HDPC matrix, and the unitary matrix to generate a combining matrix.
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